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Finding the Fourth Proportional to 1,382.37, 1,907.90 and 884.98

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Solution

The fourth proportional to 1,382.37, 1,907.90 and 884.98 is: 1,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.37 : 1,907.90 = 884.98 : x
  2. Step 2: Convert to fraction form
    1,382.37/1,907.90 = 884.98/x
  3. Step 3: Cross multiply
    1,382.37x = 1,907.90 × 884.98
  4. Step 4: Simplify right side
    1,382.37x = 1,688,453.34
  5. Step 5: Solve for x
    x = 1,688,453.34/1,382.37
  6. Step 6: Final answer
    x = 1,221.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.